Answer:
<h2>
h(x) = 4x+48</h2>
Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
Simply make a proportion. x is the long side for the small triangle and 4 is the short side. x is the short side of the medium triangle and 9 is the long side. Your proportion should look like this x/4=9/x. The cross multiply to get x squared = 36 . x=6 You can also draw a grid if you were taught to do so in school.
The formula to get the volume of the triangular prism is;
V = B x H1 x H2
where;
B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.
now, to find the area of the base simply use the formula
A = 1/2 B x H
where B is the value of the base and H is the value of the height of the triangle.
given the formula we can derive another formula to get the volume of the triangular prism.
V = 1/2 B x H1 x H2
given the formula, you can now substitute the values
.
V = 1/2 (3 in. x 8 in. x 9 in.)
V = 1/2 (216 in.^3)
V = (216 in.^3)/2
V = 108 in.^3 this is the final answer
Answer: The expression representing the amount of money spent is by Emily.
Step-by-step explanation:
Since we have given that
Let the cost price of per pair of sandals be 's'
Let the cost price of per pair of boots be 's+30'.
Number of pairs of boots = 2
Number of pairs of sandals = 3
Total cost would be
Hence, the expression representing the amount of money spent is by Emily.
Answer:
6y^3-9y^2-7y
Step-by-step explanation:
y^3-+5t^3 - 7y^2-2y^2 - 3y-2y-2y